結果

問題 No.95 Alice and Graph
コンテスト
ユーザー raven7959
提出日時 2022-08-30 21:08:32
言語 C++17
(gcc 13.3.0 + boost 1.87.0)
結果
AC  
実行時間 2,741 ms / 5,000 ms
コード長 5,399 bytes
コンパイル時間 2,564 ms
コンパイル使用メモリ 222,800 KB
最終ジャッジ日時 2025-02-07 00:01:32
ジャッジサーバーID
（参考情報） 		judge3 / judge5
このコードへのチャレンジ
（要ログイン）
ファイルパターン 結果
other AC * 14
権限があれば一括ダウンロードができます

ソースコード

diff # 

#include <bits/stdc++.h>
#pragma GCC optimize("Ofast")
#pragma GCC optimize("unroll-loops")
#pragma GCC target("sse,sse2,sse3,ssse3,sse4,fma,abm,mmx,avx,avx2")
#define rep(i, n) for (int i = 0; i < (int)(n); i++)
#define rrep(i, n) for (int i = (int)(n - 1); i >= 0; i--)
#define all(x) (x).begin(), (x).end()
#define sz(x) int(x.size())
#define yn(joken) cout<<((joken) ? "Yes" : "No")<<"\n"
#define YN(joken) cout<<((joken) ? "YES" : "NO")<<"\n"
using namespace std;
using ll = long long;
using vi = vector<int>;
using vl = vector<ll>;
using vs = vector<string>;
using vc = vector<char>;
using vd = vector<double>;
using vld = vector<long double>;
using vvi = vector<vector<int>>;
using vvl = vector<vector<ll>>;
using vvs = vector<vector<string>>;
using vvc = vector<vector<char>>;
using vvd = vector<vector<double>>;
using vvld = vector<vector<long double>>;
using vvvi = vector<vector<vector<int>>>;
using vvvl = vector<vector<vector<ll>>>;
using vvvvi = vector<vector<vector<vector<int>>>>;
using vvvvl = vector<vector<vector<vector<ll>>>>;
using pii = pair<int,int>;
using pll = pair<ll,ll>;
const int INF = 1e9;
const ll LINF = 2e18;
template <class T>
bool chmax(T& a, const T& b) {
    if (a < b) {
        a = b;
        return 1;
    }
    return 0;
}
template <class T>
bool chmin(T& a, const T& b) {
    if (b < a) {
        a = b;
        return 1;
    }
    return 0;
}
bool ispow2(int i) { return i && (i & -i) == i; }
bool ispow2(ll i) { return i && (i & -i) == i; }
template <class T>
vector<T> make_vec(size_t a) {
    return vector<T>(a);
}
template <class T, class... Ts>
auto make_vec(size_t a, Ts... ts) {
    return vector<decltype(make_vec<T>(ts...))>(a, make_vec<T>(ts...));
}
template <typename T>
istream& operator>>(istream& is, vector<T>& v) {
    for (int i = 0; i < int(v.size()); i++) {
        is >> v[i];
    }
    return is;
}
template <typename T>
ostream& operator<<(ostream& os, const vector<T>& v) {
    for (int i = 0; i < int(v.size()); i++) {
        os << v[i];
        if (i < int(v.size()) - 1) os << ' ';
    }
    return os;
}

static uint32_t RandXor(){
    static uint32_t x=123456789;
    static uint32_t y=362436069;
    static uint32_t z=521288629;
    static uint32_t w=88675123;
    uint32_t t;
 
    t=x^(x<<11);
    x=y; y=z; z=w;
    return w=(w^(w>>19))^(t^(t>>8));
}

static double Rand01(){
    return (RandXor()+0.5)*(1.0/UINT_MAX);
}

template <typename T = int>
struct Edge{
    int from, to;
    T cost;
    int idx;
    Edge() = default;
    Edge(int from, int to, T cost = 1, int idx = -1) : from(from), to(to), cost(cost), idx(idx) {}
    operator int() const { return to; }
};

template <typename T = int>
struct Graph{
    vector<vector<Edge<T>>> g;
    int es;
    Graph() = default;
    explicit Graph(int n) : g(n), es(0) {}
    size_t size() const{
        return g.size();
    }

    void add_directed_edge(int from, int to, T cost = 1){
        g[from].emplace_back(from, to, cost, es++);
    }

    void add_edge(int from, int to, T cost = 1){
        g[from].emplace_back(from, to, cost, es);
        g[to].emplace_back(to, from, cost, es++);
    }

    void read(int M, int padding = -1, bool weighted = false, bool directed = false){
        for (int i = 0; i < M; i++){
            int a, b;
            cin >> a >> b;
            a += padding;
            b += padding;
            T c = T(1);
            if (weighted) cin >> c;
            if (directed) add_directed_edge(a, b, c);
            else add_edge(a, b, c);
        }
    }

    inline vector<Edge<T>> &operator[](const int &k){
        return g[k];
    }

    inline const vector<Edge<T>> &operator[](const int &k) const{
        return g[k];
    }
};

template <typename T = int>
using Edges = vector<Edge<T>>;

template <typename Matrix, typename T>
void warshall_floyd(Matrix &g, T INF){
    for (size_t k = 0; k < g.size(); k++){
        for (size_t i = 0; i < g.size(); i++){
            for (size_t j = 0; j < g.size(); j++){
                if (g[i][k] == INF || g[k][j] == INF)
                    continue;
                g[i][j] = min(g[i][j], g[i][k] + g[k][j]);
            }
        }
    }
}

void solve(){
    int N,M,K;
    cin>>N>>M>>K;
    Graph<int> G(N);
    vvi E(N,vi(N,INF));
    rep(_,M){
        int u,v;
        cin>>u>>v;
        u--; v--;
        G.add_edge(u,v);
        E[u][v]=1;
        E[v][u]=1;
    }
    warshall_floyd(E,INF);
    int cnt=1;
    ll ans=0;
    vi used={0};
    for(int i=N-1;i>=1;i--){
        used.emplace_back(i);
        cnt++;
        // グラフを縮約
        Graph<ll> G2(cnt);
        rep(i,cnt){
            rep(j,i){
                G2.add_edge(i,j,E[used[i]][used[j]]);
            }
        }
        // bitDP
        vvl DP(1<<cnt,vl(cnt,LINF));
        DP[1][0]=0;
        for(int mask=1;mask<(1<<cnt);mask++){
            rep(v,cnt){
                for(auto e:G2[v]){
                    if(mask>>e.to&1) continue;
                    chmin(DP[mask|(1<<e.to)][e.to],DP[mask][v]+e.cost);
                }
            }
        }
        ll m=LINF;
        rep(i,cnt) chmin(m,DP[(1<<cnt)-1][i]);
        if(m<=K){
            ans+=(1LL<<i);
            ans--;
        }
        else{
            cnt--;
            used.pop_back();
        }
        if(cnt>=K+1) break;
    }
    cout<<ans<<endl;
}

int main(){
    cin.tie(nullptr);
    ios::sync_with_stdio(false);

    solve();
}
0